Riemann–Poisson manifolds and Kähler–Riemann foliations
نویسندگان
چکیده
منابع مشابه
Riemann Poisson Manifolds and Kähler-riemann Foliations
1 Riemann Poisson manifolds were introduced by the author in [1] and studied in more details in [2]. Kähler-Riemann foliations form an interesting subset of the Riemannian foliations with remarkable properties ( see [3]). In this paper we will show that to give a regular Riemann Poisson structure on a manifold M is equivalent to to give a Kähler-Riemann foliation on M such that the leafwise sym...
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This paper is devoted to discussing affine Hirsch foliations on 3-manifolds. First, we prove that up to isotopic leaf-conjugacy, every closed orientable 3-manifold M admits 0, 1 or 2 affine Hirsch foliations. Then, we analysis the 3-manifolds admitting two affine Hirsch foliations (abbreviated as Hirsch manifolds). On one hand, we construct Hirsch manifolds by using exchangeable braided links (...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2003
ISSN: 1631-073X
DOI: 10.1016/s1631-073x(03)00079-7